Details

Time bar (total: 15.0s)

sample39.0ms

Algorithm
intervals
Results
25.0ms271×body80valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
done21
221
117
011

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x.re y.re (* x.im y.im))
24.1b
(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma x.re y.re (* x.im y.im))
6.0ms
(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(fma x.re y.re (* x.im y.im))
115.0ms
(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))

simplify2.2s

Counts
47 → 47
Iterations
IterNodes
done5000
43105
3992
2302
1106
067

prune286.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma x.re y.re (* x.im y.im))
15.7b
(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 associate-/r* add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×fma-udef associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma x.re y.re (* x.im y.im))
5.0ms
(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(fma x.re y.re (* x.im y.im))
128.0ms
(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
50.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
57.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.1s

Counts
99 → 99
Iterations
IterNodes
done5004
42878
3979
2321
1143
093

prune631.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma x.re y.re (* x.im y.im))
15.8b
(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
22×*-un-lft-identity times-frac associate-*r*
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
5×unswap-sqr
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* fma-udef
2×rem-sqrt-square sqrt-pow1 pow1/2 div-exp cbrt-unprod hypot-def
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma x.re y.re (* x.im y.im))
16.0ms
(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
2.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(fma x.re y.re (* x.im y.im))
151.0ms
(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
62.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
49.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.0s

Counts
107 → 107
Iterations
IterNodes
done5002
32062
2646
1246
0116

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.2b

localize50.0ms

Local error

Found 4 expressions with local error:

8.3b
(/ (fma x.re y.re (* x.im y.im)) (sqrt (sqrt (fma y.im y.im (* y.re y.re)))))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))
28.5b
(sqrt (fma y.im y.im (* y.re y.re)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×*-un-lft-identity add-cube-cbrt
27×times-frac
9×associate-/r*
7×pow1
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef hypot-def associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 105
Calls
4 calls:
5.0ms
(/ (fma x.re y.re (* x.im y.im)) (sqrt (sqrt (fma y.im y.im (* y.re y.re)))))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(/ (fma x.re y.re (* x.im y.im)) (sqrt (sqrt (fma y.im y.im (* y.re y.re)))))
47.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
54.0ms
(sqrt (fma y.im y.im (* y.re y.re)))
48.0ms
(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.6s

Counts
117 → 117
Iterations
IterNodes
done5000
42194
3822
2351
1188
0120

prune771.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.2b

regimes401.0ms

Accuracy

0% (2.4b remaining)

Error of 25.8b against oracle of 23.3b and baseline of 25.8b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8459×body80valid